A 10-sided die is rolled in a role-playing game. What is the probability of rolling a number that is a multiple of 2 or greater than 7?

Rationale

The probability of rolling a number that is a multiple of 2 or greater than 7 is 5/10 or 1/2.

When rolling a 10-sided die, the possible outcomes are the numbers 1 through 10. The numbers that are multiples of 2 are 2, 4, 6, 8, and 10 (5 outcomes), and the numbers greater than 7 are 8, 9, and 10 (3 outcomes). The overlapping value of 8 and 10 means we count them only once, giving a total of 5 favorable outcomes out of 10 possible outcomes.

A (02-Jan) YOUR ANSWER

This option suggests a probability of 2/10 or 1/5, which inaccurately represents the favorable outcomes. The count of numbers that meet the criteria of being a multiple of 2 or greater than 7 is higher than just two, as explained in the correct answer.

B (05-Mar) CORRECT

This option correctly indicates a probability of 5/10 or 1/2, representing the correct count of favorable outcomes: 2, 4, 6, 8, 10 (multiples of 2) and 8, 9, 10 (greater than 7) with overlap accounted. Thus, it captures the total successful outcomes accurately.

C (10-Jul) YOUR ANSWER

This option implies a probability of 10/10 or 1, suggesting that every possible outcome qualifies under the given conditions. However, not all numbers (1 through 10) are multiples of 2 or greater than 7, as 1, 3, 5, and 7 do not meet either criterion.

D (05-Apr) YOUR ANSWER

While this option also suggests a probability of 5/10 or 1/2, it is incorrectly represented as a date rather than a fraction. Although the numerical value is correct, the format does not represent a probability in the context of the question.

Conclusion

The correct probability of rolling a number that is a multiple of 2 or greater than 7 on a 10-sided die is indeed 5/10 or 1/2. This outcome arises from identifying the valid numbers that satisfy either condition while avoiding double counting the overlapping outcomes. Properly understanding these probabilities enhances gameplay strategy in role-playing games.

A 10-sided die is rolled in a role-playing game. What is the probability of rolling a number that is a multiple of 2 or greater than 7?

The probability of rolling a number that is a multiple of 2 or greater than 7 is 5/10 or 1/2.

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